Early Detection of Cyberattacks in Banking Networks via a Fractional Partial Differential Equation Model

Ahmad Alshanty, Waseem Ghazi Alshanti and Amjed Zraiqat

Journal of Applied Mathematics, 2026, vol. 2026, 1-11

Abstract: In this paper, we model edge traffic with a conformable fractional partial differential equation that keeps memory in time and space. The solution represents a unit-free attack pressure, built from a z-scored edge series, a quiet period baseline, and a partially absorbing boundary that reflects scrubbing and rate limits. Using a closed form atomic solution, we split the edge signal into a growth part and a damped part for early warning, and use a simple spatial factor to estimate how far pressure can travel inside. The result is a small, readable model that turns one edge metric into clear, tier-specific actions during DDoS attacks.

Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:4338391

DOI: 10.1155/jama/4338391

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